Paper Citation Record · LEDGER

Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2111.02433.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2111.02433 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:31:52.856715Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-24T10:49:21.480752Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 90b8355f-bc60-4751-818f-5f4389cd23e0 · inbound

Catalogue of topological phonon materials cites this paper.

Catalogue of topological phonon materials Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-24T10:49:21.483558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 214e0606-aad2-4fc8-bccf-73c68cd75e64 · inbound

Two-dimensional Topological Quantum Chemistry and Catalog of Topological Materials cites this paper.

Two-dimensional Topological Quantum Chemistry and Catalog of Topological Materials Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-12T21:22:10.745867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 365c1961-0b7e-453a-a62c-e817e4e16458 · inbound

Two-dimensional orbital-obstructed insulators with higher-order band topology cites this paper.

Two-dimensional orbital-obstructed insulators with higher-order band topology Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T17:03:59.120627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 479c5e43-b103-4b40-8f15-7a2afdddb2ef · inbound

Quantum Geometry in Quantum Materials cites this paper.

Quantum Geometry in Quantum Materials Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites

Reference 123

Resolution: unresolved; no resolver link, observed 2026-08-10T23:04:11.173952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a9f5301-ddaf-4636-9ba0-3be2cb59bf11 · inbound

Stable Real-Space Invariants and Topology Beyond Symmetry Indicators cites this paper.

Stable Real-Space Invariants and Topology Beyond Symmetry Indicators Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T21:31:52.856715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a334e46b-e5dc-4032-93e5-3e7747d9a951 · inbound

Quantum Geometry in the NbSe$_2$ Family I: Obstructed Compact Wannier Function and New Perturbation Theory cites this paper.

Quantum Geometry in the NbSe$_2$ Family I: Obstructed Compact Wannier Function and New Perturbation Theory Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites

Reference 109

Resolution: unresolved; no resolver link, observed 2026-08-06T20:48:43.083086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dca3a77a-dfac-40ed-9b6e-40cb202d8dc0 · inbound

Topological Dislocation Response in Elementary Semiconductors cites this paper.

Topological Dislocation Response in Elementary Semiconductors Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T21:21:39.882477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 860b8daa-1b81-492c-901d-272af1a7cba7 · inbound

Fragile Topology is Unstable Under Translation Refinement cites this paper.

Fragile Topology is Unstable Under Translation Refinement Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-01T15:38:53.650715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb4850f7-b761-4354-a25c-db2adad354a0 · inbound

Quantum geometry and critical temperature enhancement in MgB$_2$ superconductivity cites this paper.

Quantum geometry and critical temperature enhancement in MgB$_2$ superconductivity Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-01T12:48:08.140120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c5863b4-0ad3-4f26-a6e4-996c73ce77e7 · inbound

Real-Space Imaging of Band Topology via Wavefunction Zeros cites this paper.

Real-Space Imaging of Band Topology via Wavefunction Zeros Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.623641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47454a9a-0072-4ad9-b1df-dbb328e4c29a · inbound

Correlated topological-polarization surface states in the narrow-gap insulator FeSb2 cites this paper.

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T21:49:09.201853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.